2017/07/24 by L. Cabras, Cabras, L., A. B. Movchan +3 · 1 citation
Engineering · Physics and Astronomy · #Acoustic Wave Phenomena Research #Classical Physics (physics.class-ph) #FOS: Physical sciences #Nonlinear Photonic Systems #Railway Engineering and Dynamics
paper · pdf · doi:10.48550/arxiv.1707.07599
openalex publication_date 2017/07/24 · openalex created_date 2017/07/31 · openalex updated_date 2026/07/28
The paper addresses novel dispersion properties of elastic flexural waves in periodic structures which possess rotational inertia. The structure is represented as a lattice, whose elementary links are formally defined as the Rayleigh beams. Although in the quasi-static regime such beams respond similarly to the classical Euler-Bernoulli beams, as the frequency increases the dispersion of flexural waves possesses new interesting features. For a doubly periodic lattice, we give a special attention to degeneracies associated with so-called Dirac cones on the dispersion surfaces as well as directional anisotropy. Comparative analysis for Floquet-Bloch waves in periodic flexural lattices of different geometries is presented and accompanied by numerical simulations.